1 A supermarket chain buys a batch of 10000 scratchcard draw tickets for sale in its stores. 50 of these tickets have a \(\pounds 10\) prize, 20 of them have a \(\pounds 100\) prize, one of them has a \(\pounds 5000\) prize and all of the rest have no prize. This information is summarised in the frequency table below.
| Prize money | \(\pounds 0\) | \(\pounds 10\) | \(\pounds 100\) | \(\pounds 5000\) |
| Frequency | 9929 | 50 | 20 | 1 |
- Find the mean and standard deviation of the prize money per ticket.
- I buy two of these tickets at random. Find the probability that I win either two \(\pounds 10\) prizes or two \(\pounds 100\) prizes.